Eigenfunction expansion in the singular case for q-Sturm-Liouville operators

DOI10.22080/cjms.2018.13943.1339zbMath1463.39008OpenAlexW2946298419MaRDI QIDQ5230537

Hüseyin Tuna, Bilender P. Allahverdiev

Publication date: 28 August 2019

Full work available at URL: http://cjms.journals.umz.ac.ir/article_1832_112389ce5fbc7ff05ca99c9fbc9c6710.pdf

zbMATH Keywords

singular pointspectral functionParseval equality\(q\)-Sturm-Liouville operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (7)

On a $q$-analogue of the Sturm-Liouville operator with discontinuity conditions ⋮ ON A q-BOUNDARY VALUE PROBLEM WITH DISCONTINUITY CONDITIONS ⋮ The Parseval identity for \(q\)-Sturm-Liouville problems with transmission conditions ⋮ On the resolvent of singular q-Sturm-Liouville operators ⋮ q−Hamiltonian systems ⋮ Extensions of the matrix-valued q−Sturm–Liouville operators ⋮ On a spectral theory of singular Hahn difference equation of a Sturm‐Liouville type problem with transmission conditions

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